Answer:
x=-11/2
Step-by-step explanation:
Correct answer will get brainliest
what was the original weight of the ball ?
Answer:
16.5
Step-by-step explanation:
A is the correct answer
Step-by-step explanation:
If you plug y=x+10 in for the Y variable you just have to solve by multiplying.
1.) It should look like this:
2x + 3(x +10) = 40
2.) You will distribute the three which will make the equation look like this:
2x + 3x + 30 = 40
3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.
but 16.5 is the answer
what is the square root of 163
Step-by-step explanation:
The actual square root value is
12.7671453348...
But we Have taken only significant
figure and it is as 12.76
HELP PLEASE :( due in 35 minutes !!!!
The question is:
Create a system of equations that has a solution of (-2, 1). Show work to justify your answer.
Answer:
35
Step-by-step explanation:
What is the measure of ZP?
39
56
97
29
Answer:
29 degrees
Step-by-step explanation:
Interior angle + exterior angle= 180 degrees
180-56=124
124+27=151
180-151=29
Hope this helps! :)
Help me pls I’ll mark you as brain
You have invested 40 percent of your portfolio in an investment with an expected return of 12 percent and 60 percent of your portfolio in an investment with an expected return of 20 percent. What is the expected return of your portfolio?
a. 15.2%
b. 16.0%
c. 16.8%
d. 17.6%
The correct answer is option c. 16.8%, which means that I can have an expected return of 16.8%.Let us go through the solution to know how option c. is the correct one.
The expected return of the portfolio can be calculated by weighing the expected returns of each investment based on their respective percentages in the portfolio.
In this case, with 40 percent invested in an investment with an expected return of 12 percent and 60 percent invested in an investment with an expected return of 20 percent, we can calculate the expected return of the portfolio as follows:
Expected Return of Portfolio = (Weight of Investment 1 * Expected Return of Investment 1) + (Weight of Investment 2 * Expected Return of Investment 2)
= (0.40 * 0.12) + (0.60 * 0.20)
= 0.048 + 0.120
= 0.168
Therefore, the expected return of the portfolio is 16.8%. Hence, the correct answer is option c. 16.8%.
To know more about expected return, visit:
At which x-value does the cosine function attain a maximum value?.
Answer:
cos(x) = ???
so the maximum cosine can be is 1 and that happens when x = 0
I'm pretty sure that's what you meant...
The value of x where the cosine function attains a maximum value is 0.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Cosine function.
The value of cos 90° is 0.
The value of cos 0° is 1.
The value of cos 30° is √3/2.
The value of cos 60° is 1/2.
We see that the cosine function has the maximum value at zero degrees.
Thus,
Cos x has the maximum value at x = 0.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ5
What must be the beta of a portfolio with E(rP) = 13%, if rf = 5% and E(rM) = 15%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
the beta of the portfolio is 0.8.
The capital asset pricing model (CAPM) formula is used to determine the beta of a portfolio.
CAPM formula: E(rP) = rf + β[E(rM) - rf]
Given:
E(rP) = 13%
rf = 5%
E(rM) = 15%
Substituting the values into the CAPM formula:
13% = 5% + β[15% - 5%]
Simplifying:
8% = 10β
β = 0.8
Therefore, the beta of the portfolio is 0.8.
The beta of a portfolio with E(rP) = 13%, if rf = 5% and E(rM) = 15%, is 0.8.
To find the beta (β) of a portfolio, we can use the Capital Asset Pricing Model (CAPM) formula:
E(rP) = rf + β * [E(rM) - rf]
Where E(rP) is the expected return of the portfolio, rf is the risk-free rate, and E(rM) is the expected return of the market.
Given E(rP) = 13%, rf = 5%, and E(rM) = 15%, we can plug these values into the CAPM formula and solve for β:
13% = 5% + β * (15% - 5%)
Step 1: Subtract the risk-free rate from both sides:
8% = β * 10%
Step 2: Divide both sides by 10% to isolate β:
β = 8% / 10% = 0.8
The beta of the portfolio is 0.8 (rounded to 2 decimal places).
To know more about values visit:
https://brainly.com/question/30145972
#SPJ11
what is 700,000 is blank times as much as 700
Answer:
700,000 is 1000 times as much as 700
Step-by-step explanation:
700,000 divided by 700 is 1000
Answer:
The answer wouldn't be 100 but it would be 1000
Hoped I helped
need help with this function problem
Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
Plz Help! Ill give brainliest to the first correct answer!
How many solutions does the system of equations below have?
y = -9x - 2
y = -9x - 2
A. No solution
B. One solution
C. Infinitely many solutions
Please help hurry I’ll mark brainly
The frequency table shows that:
2 were inaugurated between 40 and 4513 were inaugurated between 46 and 5131 were inaugurated between 52 and 576 were inaugurated between 58 and 635 were inaugurated between 64 and 69.What is the frequency table?To construct frequency table with a range of 6 classes, we will determine range of the data which is difference between the largest and smallest value in the data set.
Data are: 42, 43, 46, 46, 47, 47, 48, 49, 49, 50, 51, 51, 51, 51, 51, 52, 52, 54, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 57, 58, 60, 61, 61, 61, 62, 64, 64, 65, 68, 69
Age Interval Frequency
40 - 45 2
46 - 51 13
52 - 57 31
58 - 63 6
64 - 69 5
Read more about Frequency
brainly.com/question/28821602
#SPJ1
11. The price of a new
pair of True Religion
jeans is marked down
from $159.99 to $39.99
What percentage was
taken off?
Answer:
159.99-39.99=120
120/159.99*100=12000/159.99
12000/159.99≈75.00
approximately 75%
Triangle ABC has an Area of 4 3/8 square feet. If the length of AC IS 1 2/3 feet, what is the length of BC?
Answer:
length of BC = 5 1/4 feet
Step-by-step explanation:
Area of a triangle = 1/2×base×height
Area = 4 3/8 square feet
Base = AC= 1 2/3 feet
Height = BC = ?
Area of a triangle = 1/2×base×height
4 3/8 = 1/2 × 1 2/3 × height
35/8 = 1/2 × 5/3 × height
35/8 = 5/6 × height
Height = 35/8 ÷ 5/6
= 35/8 × 6/5
= (35 × 6) / (8 × 5)
= 210 / 40
= 5 1/4 feet
Height = BC = 5 1/4 feet
length of BC = 5 1/4 feet
does anyone know the answers
Please help me! Use a trigonometric ratio to find the value of x!
Using a trigonometric ratio we can find the value of x is approx 4.76
What is trigonometric function?
Mathematical trigonometric functions connect the angle of a right-angled triangle to the ratios of its two side lengths. In all areas of study that involve geometry, such as geodesy, solid mechanics, celestial mechanics, and many others, they are widely used. Fourier analysis is commonly used to study periodic events since it is one of the most fundamental periodic functions.
An essential trigonometric function that can be used to calculate the value of "x" is the tangent function.
Given :
The right-angle triangle ABC.
AB = x
BC = 4
∠A=40°
We know,
tanθ= P/B
Where the perpendicular is P and the base is B of the given triangle.
So, tan40°= 4/x
X=4/tan40°
X≅4.76
Hence the value of x is 4.76.
To learn more about trigonometric function from the given link
https://brainly.com/question/1143565
#SPJ1
The simple interest on a sum of money invested at 3% per annum for 2 years was $39.75.
Calculate the sum of money invested
Answer:
$37.50
Step-by-step explanation:
\(P+Prt=39.75 \\ \\ P+P(2)(0.03)=39.75 \\ \\ 1.06P=39.75 \\ \\ P=\$37.50\)
There is a a circle whose circumference is 34.54 cm.
Find the diameter of the circle. Remember use 3.14 for T.
Blank 1:
Answer:
\(\huge\boxed{Diameter=11cm}\)
Step-by-step explanation:
Important information:
Circumference of a circle= \(\pi*diameter\)
Method:
To work out the diameter, we would need to divide the circumference of 34.54 by pi, which in this case is 3.14, this gives us 11cm. This is because we are simply rearanging the formula of the circumference of a circle to make the diameter the subject.
Step By Step:
1) Rearange the formula to make the diameter the subject.
\(diameter=\frac{circumference}{\pi}\)
2) Divide 34.54 by 3.14(\(\pi\)).
\(34.54/3.14=11cm\)
There is a a circle whose circumference is 34.54 cm. Find the diameter of the circle. Remember use 3.14 for π.
- To know the diameter divide 34.54 cm by pi (π) to get the answer.
\( \large \tt d = \frac{34.54}{\pi} \\ \large \tt d = 11cm\)
Therefore, the diameter of the circle is 11cm
#CarryOnLearningA car was bought a year ago for £2375. It is now worth £1729. What percentage of the cost of the car is the car worth now?
Answer:
72.8%
Step-by-step explanation:
1729 / 2375 = 0.728 -> 72.8%
Answer:
72.8 %
Step-by-step explanation:
£2375 ............ 100%
£1729 ...................x%
x = £1729×100%/£2375 = £172900/£2375 = 72.8 %
al3xis
Identify square root of 3 as either rational or irrational, and approximate to the tenths place.
Answer:
Irrational
\(\sqrt{3}\) = approx. 1.7
Step-by-step explanation:
The square root of 3 is irrational, because 3 is not a perfect square.
For example, 4 is a perfect square, so the square root (2) will be rational.
The square root of 3 is 1.73205080757,
and we can round this to 1.7 for the tenths place
-10a - 9n + 16 - 30 + 3n + 15a + 50 + aWhat are the variables in the expression aboveWhat are the constants in the expression above
The variable can change depending on the equation and the constant doesnot change .
Here, the variables are a,n
The constants are 16,-30,50
3w + 4u - 6
Simplify
Step-by-step explanation:
There are many different ways to simplify this. It could be
3(w-2)+4u , 2(2u-3)+3w , or something else.
please help if you can
Select the correct answer from the drop-down menu.
Find the polynomial.
{-1,4} is the solution set of
The quadratic equation whose roots are x = - 1 / 3 and x = 4 is equal to 3 · x² - 11 · x - 4.
How to find a quadratic equation
Algebraically speaking, we can form an quadratic equation from the knowledge of two distinct roots and the use of the following expression:
y = (x - r₁) · (x - r₂)
If we know that r₁ = - 1 / 3 and r₂ = 4, then the quadratic equation is:
y = (x + 1 / 3) · (x - 4)
y = x² - (11 / 3) · x - 4 / 3
If we multiply each side by 3, then we find the following expression:
3 · y = 3 · x² - 11 · x - 4
To learn more on quadratic equation: https://brainly.com/question/29269455
#SPJ1
you have 4 math books, 2 history books, and 3 science books. if the books are placed on a book shelf, what is the probability that each category is kept together? round your answer to 6 decimal places as needed.
The probability that each category is kept together is 0.000079.
To calculate the probability of each category being kept together, we need to calculate the total number of ways the books can be arranged on the shelf, as well as the number of ways that the books in each category can be arranged together.
First, let's calculate the total number of ways the books can be arranged on the shelf:
Total number of ways to arrange the books = 9! = 362,880
Now, let's calculate the number of ways that the math books can be arranged together:
Number of ways to arrange the 4 math books = 4! = 24
Similarly, the number of ways to arrange the history books together and the science books together are:
Number of ways to arrange the 2 history books = 2! = 2
Number of ways to arrange the 3 science books = 3! = 6
Since there are three categories of books that need to be kept together, we need to multiply these probabilities together to get the total probability:
Total probability = (number of ways to arrange math books) x (number of ways to arrange history books) x (number of ways to arrange science books) / (total number of ways to arrange books)
Total probability = (24 x 2 x 6) / 362,880
Total probability = 0.00007916
Rounded to 6 decimal places, the probability that each category is kept together is 0.000079
To learn more about probability here:
brainly.com/question/30034780#
#SPJ11
3. Find the measure of the angle indicated.
Answer:
94°
Step-by-step explanation:
Interior angles:
m<C = 49°
m<D = ?
Angles CBD and CBY are supplementary.
m<CBD = 180° - 143° = 37°
m<C + m<D + m<CBD = 180°
49° + m<D + 37° = 180°
m<D = 94°
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. How tall wa the buh after the two week
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is \(\\26 \frac{2}{5}\).
What is improper fractions?
An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.
12 times 120% + 12
12*120%+12
\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)
Follow the PEMDAS order of operations
Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)
\(=\frac{72}{5}+12$$\)
Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)
\(=\frac{132}{5}$$\)
Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)
\(=26 \frac{2}{5}$$\)
To learn more about improper fractions visit:https://brainly.com/question/21449807
#SPJ4
Farmer sold 35% of its peaches and had 280 remaining. How many did he have to start
Answer:
430 peaches
Step-by-step explanation:
Calculation for How many Peaches did he have to start
Using this formula
Peaches at hand=Remaining Peaches/(100%-Percentage of peaches sold)
Let plug in the formula
Peaches at hand=280/(100%-35%)
Peaches at hand=280/65%
Peaches at hand=430 peaches
Therefore the numbers of Peaches he have to start with is 430 peaches
What is the value of x if m ∠ 5 = 10x + 5 and m ∠ 3 = 8x - 5
Answer:
x = 10
Step-by-step explanation:
∠ 5 and ∠ 3 are same- side interior angles and sum to 180° , that is
10x + 5 + 8x - 5 = 180 , so
18x = 180 ( divide both sides by 18 )
x = 10